10-327

DBN: Classes: 2010-11: 10-327/Navigation Additions to the MAT 327 web site no longer count towards good deed points # Week of... Notes and Links 1 Sep 13 About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases. 2 Sep 20 Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions 3 Sep 27 Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions 4 Oct 4 Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions 5 Oct 11 Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday. 6 Oct 18 Monday - connectedness in ${\mathbb {R} }$, HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products 7 Oct 25 Monday - Compactness of $[0,1]$, Term Test on Thursday, TT Solutions 8 Nov 1 Monday - compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday - compactness of products and in metric spaces, the FIP 9 Nov 8 Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions 10 Nov 15 Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions 11 Nov 22 Monday - $T_{3.5}$ and $I^{A}$, Thursday - Tietze's theorem 12 Nov 29 Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness 13 Dec 6 Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule R Dec 13 See December 2010 Schedule F Dec 20 Final exam, Monday December 20, 2PM-5PM, at BR200 Register of Good Deeds Add your name / see who's in! See Hilbert's 13th

Introduction to Topology

Department of Mathematics, University of Toronto, Fall 2010

Agenda: Understand "continuity" in the most abstract, learn about "the fundamental groups" and maybe touch "surfaces".

Instructor: Dror Bar-Natan, drorbn@math.toronto.edu (Wiki before Email!), Bahen 6178, 416-946-5438. Office hours: by appointment.

Classes: Mondays 2-3 and Thursdays 2-4 in Sydney Smith 1070.

Teaching Assistant: David Reiss, david.reiss@utoronto.ca, SS 622.

Text

James Munkres' Topology. Many other texts are also available. (A useful principle to know is that many math texts are available online. Web search for (name of text + name of author + pdf or djvu).

Further Resources

• Undergraduate Information at the UofT Math Department
• Undergraduate Course Descriptions.
• My 10-327 notebook.
• My 2005-06 Math 1300/427 web site.
• My 2004-05 Math 1300/427 web site.